Projection of Markov measures may be Gibbsian - Archive ouverte HAL
Article Dans Une Revue Journal of Statistical Physics Année : 2003

Projection of Markov measures may be Gibbsian

E. Ugalde
  • Fonction : Auteur

Résumé

We study the induced measure obtained from a 1-step Markov measure, supported by a topological Markov chain, after the mapping of the original alphabet onto another one. We give sufficient conditions for the induced measure to be a Gibbs measure (in the sense of Bowen) when the factor system is again a topological Markov chain. This amounts to constructing, when it does exist, the induced potential and proving its Holder continuity. This is achieved through a matrix method. We provide examples and counterexamples to illustrate our results.

Dates et versions

hal-00139404 , version 1 (30-03-2007)

Identifiants

Citer

J. -R. Chazottes, E. Ugalde. Projection of Markov measures may be Gibbsian. Journal of Statistical Physics, 2003, 111 numéro 5-6, pp.1245-1272. ⟨hal-00139404⟩

Altmetric

Partager

More